Algebraic Geometry Seminar: Rahul Ajit (Ghosh)

University of Utah

When

2 – 3 p.m., Nov. 15, 2024

Title: Canonical modules and F-Rationality of (extended) Rees Algebra

Abstract: We show that canonical module of extended Rees algebra matches with canonical module of Rees algebra in positive degrees in any charecteristics. Using this, we describe the test modules of these algebras and answer a conjecture of Hara-Watanabe-Yoshida (2002) on F-Rationality in full generality. Time permitting, I'll mention similar results for Rational singularity and some open questions. This is a joint work with Hunter Simper. Our result gives a way to compute test ideals for non-principal ideals as well in Macaulay2. M2 part is a joint work with Trung Chau, Karl Schwede and Hunter Simper.